Abstract
We study completeness of systems of third Jackson q-Bessel functions by two quite different methods. The first uses a Dalzell-type criterion and relies on orthogonality and the evaluation of certain q-integrals. The second uses classical entire function theory.
Research partially supported by Fundacaõ para a Cibência e Tecnologia and Centro de Mátemática da Universidade de Coimbra.
Joaquín Bustoz (1939–2003) passed away in August 2003 as a consequence of a car accident. He will be missed both as a mathematician and for his work on teaching mathematics, in particular on getting students from minorities into higher education.
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Abreu, L.D., Bustoz, J. (2005). On the Completeness of Sets of q-Bessel Functions J (3)ν (x; q). In: Ismail, M.E., Koelink, E. (eds) Theory and Applications of Special Functions. Developments in Mathematics, vol 13. Springer, Boston, MA. https://doi.org/10.1007/0-387-24233-3_2
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DOI: https://doi.org/10.1007/0-387-24233-3_2
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